Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/73, 4/82, 8/18, 83/408 quickly i.e. 1992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/73, 4/82, 8/18, 83/408 is 1992.
LCM(3/73, 4/82, 8/18, 83/408) = 1992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/73,4/82,8/18,83/408
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3,4,8,83
Least Common Multiple of Numerators i.e. LCM of 3,4,8,83 is 1992.
GCF of Denominators means GCF of 73,82,18,408 as per the given fractions.
GCF of 73,82,18,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,4,8,83
2 | 3, 4, 8, 83 |
2 | 3, 2, 4, 83 |
3, 1, 2, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 83 = 1992
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3,4,8,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,4,8,83) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(3,4,8,83) x common factors =1 x 4 = 4
LCM(3,4,8,83) = ( 3 × 4 × 8 × 83 ) / 4
LCM(3,4,8,83) = 7968 / 4
LCM(3,4,8,83) = 1992
Lets's calculate GCF of 73,82,18,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1992/1
Therefore the LCM of Fractions 3/73,4/82,8/18,83/408 is 1992
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 73,82,18,408 . The biggest common factor number is the GCF number.
So the greatest common factor 73,82,18,408 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3/73, 4/82, 8/18, 83/408?
Answer: LCM of Numerators as per given numbers 3/73, 4/82, 8/18, 83/408 is
LCM of Numerators i.e. for 3,4,8,83 is 1992
GCF of denominators i.e. for 73,82,18,408 is 1.
Thus, LCM of Fractions is 1992.Finally, LCM of Fractions for 3/73, 4/82, 8/18, 83/408 is 1992.